Final answer:
The unit rate for 1/4 km in 1/3 hr is calculated by dividing the distance by the time and then converting the time to hours. By converting 1/3 hr to minutes and back to hours for compatibility, we find that the unit rate is 15 km/h.
Step-by-step explanation:
The student is asking for the unit rate for 1/4 km in 1/3 hr. To find the unit rate, we calculate the distance traveled in terms of one unit of time, typically in kilometers per hour (km/h) or meters per second (m/s). In this case, we'll keep it simple and find the speed in km/h.
To find the unit rate in km/h, we use the formula:
- unit rate (speed) = distance/time
Firstly, we'll convert 1/3 hr to minutes to make it easier to work with:
1/3 hr = (1/3) × 60 min = 20 min
Then, we calculate the speed:
unit rate (speed) = (1/4 km)/(20 min) = (1/4 km)/(1/3 hr)
To express the speed as km/h, we multiply by the conversion factor from hours to minutes, which is 60 min/hr. Thus, we have:
unit rate (speed) = (1/4 km)/(1/3 hr) × (60 min/hr)
By multiplying, the unit rate (speed) = (1/4 × 60)/(1/3) km/h = (60/4) × 3 km/h = 15 km/h
Therefore, the unit rate is 15 km/h.